Six equilateral triangles are connected to create a regular hexagon. The area of the hexagon is 24a2 – 18 square units. Which is an equivalent expression for the area of the hexagon based on the area of a triangle?

the combined breakeven sales for all three products is Rs3800.To calculate the combined breakeven sales, we need to find the total sales value at which the company's total costs equal its total revenue.

Total fixed costs = Rs5700
Total variable costs = Variable costA + Variable costB + Variable costC
                   = 6000 + 2500 + 2000
                   = Rs10500

The breakeven point is reached when the total sales revenue equals the total costs:

Total revenue = Sales A + Sales B + Sales C
             = 10000 + 5000 + 5000
             = Rs20000

To find the combined breakeven sales, we set the total revenue equal to the total costs and solve for the sales value:

Sales A + Sales B + Sales C = Total fixed costs + Total variable costs

20000 = 5700 + 10500 + Sales A + Sales B + Sales C

Sales A + Sales B + Sales C = 20000 - 5700 - 10500
Sales A + Sales B + Sales C = 3800

Therefore, the combined breakeven sales for all three products is Rs3800.

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Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

To find the probability that a randomly selected household owns both a dog and a cat, we need to calculate the intersection of the probabilities of owning a dog and owning a cat. The probability can be found by multiplying the probability of owning a dog by the probability of owning a cat, given that they are independent events.

Step 1: Calculate the probability of owning both a dog and a cat.

Given that owning a dog and owning a cat are independent events, we can use the formula for the intersection of independent events:             P(A ∩ B) = P(A) * P(B).

Let P(D) be the probability of owning a dog (0.30) and P(C) be the probability of owning a cat (0.20). The probability of owning both a dog and a cat is P(D ∩ C) = P(D) * P(C) = 0.30 * 0.20 = 0.06.

Therefore, the probability that a randomly selected household owns both a dog and a cat is 0.06 or 6%.

Step 2: Explanation and Reasoning

To find the probability of owning both a dog and a cat, we rely on the assumption of independence between dog ownership and cat ownership. This assumption implies that owning a dog does not affect the likelihood of owning a cat and vice versa.

Using the information provided, we know that 30% of households own a dog, 20% own a cat, and 60% own neither. Since the question asks for the probability of owning both a dog and a cat, we focus on the intersection of these two events.

By multiplying the probability of owning a dog (0.30) by the probability of owning a cat (0.20), we obtain the probability of owning both (0.06 or 6%). This calculation assumes that the events of owning a dog and owning a cat are independent.

In summary, the probability of a household owning both a dog and a cat is 6%, which is found by multiplying the individual probabilities of dog ownership and cat ownership, assuming independence between the two events.

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Answer:

36 cm square will be the correct answer

( 100 / 88 ) * 924 = original price

( 100 / 88 ) * 924 = $1050

Answer:

No it is greater

Step-by-step explanation:

0.35 > 0.0005

0.0005 is closer to zero

Answer: No, 0.35 is not less than 0.005

Explanation:

For each decimal value, lets move the decimal point 4 spots to the right.

0.35 will turn into 3500.0 which is the same as 3500

0.0005 will turn into 5.0 or just 5

We see that 3500 is larger than 5, which means 0.35 is larger than 0.0005

So 0.35 > 0.0005

The key difference between two student submissions is not specified in the question. To demonstrate that a student-submitted image or transcription is unbiased, certain assumptions need to be met. Understanding the practical implications of unbiasedness is crucial.

The question does not provide information about the specific differences between the student-submitted image and transcription. However, to establish that a student submission is unbiased, several assumptions need to be satisfied. These assumptions typically include random sampling, the absence of systematic errors or biases in the data collection process, and the independence of observations. If these assumptions are met, it suggests that the student submission accurately represents the underlying population or phenomenon being studied.

Practically, unbiasedness means that the student-submitted image or transcription provides an accurate and representative depiction of the information or data being examined. It indicates that the student's work is not influenced by any systematic errors or biases that could skew the results or distort the information. This is important in research or data analysis to ensure the validity and reliability of the findings and conclusions drawn from the student's submission.

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the third component of the vector u×(v×w), we first need to compute the cross product of vectors v and w. The cross product of two vectors is found by taking the determinant of a matrix formed by the components of the vectors.

The cross product of vectors v and w can be calculated as follows: Now, we need to find the cross product of u and the result of the previous cross product.

Therefore, the third component of u×(v×w) is -120. the third component of the vector u×(v×w), we first need to compute the cross product of vectors v and w

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Therefore, the third component of u×(v×w) is -1.

In summary, the third component of the cross product u×(v×w) is -1.The cross product is a vector operation and its result is a vector.

The components of the resulting vector depend on the components of the vectors being crossed.

In this case, the result is a vector with components (6, -3, -1), and we are interested in the third component, which is -1.

The third component of the cross product u×(v×w) can be found by using the properties of cross products.

First, let's find v×w. The cross product of two vectors is found by taking the determinant of a 3x3 matrix.

v×w = ⎣
⎡​1  3  -2⎦
⎤​

Taking the determinant, we get:
v×w = 1*(-2) - 3*1 = -2 - 3 = -5

Now, we can find u×(v×w) by taking the cross product of u and (v×w).

u×(v×w) = ⎣
⎡​-1 -2  3⎦
⎤​ × (-5)

Taking the cross product, we get:
u×(v×w) = ⎣
⎡​6  -3  -1⎦

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Answer:

4

Step-by-step explanation:

Answer:

Apple=$0.60

Sanwich=$2

A glass of milk=$0.90

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Remove parentheses.

|9+1|

Simplify  9+1  to 10.

|10|

simplify

10

Let 'h' represent the number of hours that Charles will work. Since he wants to work for at least six hours, then we have the following inequality:

but he also must work fewer than 16 hours this week, then the next inequality is:

then, combining the inequalities, we have:

Answer:

r² = (2 - (-1))² + (1 - 4)² = 3² + (-3)² = 9 + 9 = 18

(x + 1)² + (y - 4)² = 18

The general form of the equation of the circle is `(x − h)² + (y − k)² = r²`, where the center of the circle is at `(h, k)` and the radius of the circle is `r`.

Given center: `(h, k) = (-1, 4)`Given solution point: `(x, y) = (2, 1)`Let the radius be `r`.

Then, using the distance formula, we can calculate the radius `r`.Distance between center and solution point is `r`i.e. `(x − h)² + (y − k)² = r²

Plugging in the values, we get:`(2 − (-1))² + (1 − 4)² = r²`

Solving for `r`, we get:`3² + (-3)² = r²`

⇒ 18 = r²

⇒ r = ±sqrt(18)`

The center of the circle is `(h, k) = (-1, 4)` and radius of the circle is `r = ±sqrt(18)`.

Hence, the equation of the circle in the general form is`(x − (-1))² + (y − 4)² = (±sqrt(18))²`

On simplifying, we get:`(x + 1)² + (y − 4)² = 18`Therefore, the required equation of the circle in the general form is `(x + 1)² + (y − 4)² = 18`.

Thus, the equation of the circle in the general form is `(x + 1)² + (y − 4)² = 18`.

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Answer:

5x + 15

Step-by-step explanation:

Given

9x + 6 - 4x + 9 ← collect like terms

= (9x - 4x) + (6 + 9)

= 5x + 15

Here, addressability refers to the number of bits required to address a byte in memory, which is given as 64 bits in the question. Utility bits refer to any additional bits required for the cache implementation, such as tag bits, valid bits, dirty bits, etc.

Therefore, to answer the question, we need more information about the cache configurations.
Hi! To calculate the total bits required to implement a cache with the given configurations, we need to consider the different components that contribute to the total bits. These components include the data bits, tag bits, and utility bits (such as valid and dirty bits).

1. Data bits: Since the ISA supports byte addressability, we first determine the number of bytes per block. Using the given cache configuration "253 1111 1101 11 111 101", we can identify the size of a cache block as 2^5 = 32 bytes. Since there are 8 bits per byte, there are 32 * 8 = 256 bits of data per block.

2. Tag bits: To determine the tag bits, we need to know the number of cache sets. The configuration "1111 1101" specifies that there are 2^8 = 256 sets. The number of index bits required for addressing these sets is 8. The remaining bits from the 64-bit address will be used as tag bits: 64 - 8 (index bits) - 5 (block offset bits) = 51 tag bits.

3. Utility bits: Utility bits include valid and dirty bits. For each cache block, there is one valid bit and one dirty bit. Thus, we have 2 utility bits per block.

Now, we can calculate the total bits required for each cache block: data bits (256) + tag bits (51) + utility bits (2) = 309 bits.

Finally, we need to determine the number of cache blocks: 256 sets * 2 blocks per set = 512 blocks. Therefore, the total number of bits required to implement the cache is 309 bits per block * 512 blocks = 158,208 bits.

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Let us solve for x in each of the inequalities.

The first inequality.

subtracting 5 from both sides gives

finally, multiplying both sides by -2 reverse the direction of the inequality to give

which is our answer!

The second inequality

Dividing both sides by -3 gives

finally, adding -5 to both sides gives

which is our answer!

Answer:

$210 , 20 weeks

Step-by-step explanation:

\(50 + 8x = 150 + 3x \\ 5x = 100 \\ x = 20\)

Answer:

-1 and 4

Step-by-step explanation:

first you bring the terms on the right side to the left and you get:

-x^2 + 3x + 4 = 0

then you divide both sides of the quadratic by -1:

x^2 - 3x - 4 = 0

then you factor the equation:

(x + 1)(x - 4) = 0

for any product to be zero, one of the factors must be zero. hence, either x + 1 or x - 4 can be zero. so x can be -1 and//or 4.

have a great day <3

Therefore , the solution of the given problem of median comes out to be  R students still present (maximum) =35

The number that precisely falls in the center of a sorted collection is the median value. An average or maximum probability metric is the difference between the initial and final 50% of the data. Different algorithms are employed to compute the average and mode depending on if you do have an unusual or perhaps even number of data points.

Here,

Median is 55

P :Q: R :S :average of 45 :50: 55 :65

The number of pupils within every section needs to be as low as possible 

R is a mean

P differs by 1: 10 from the mean.

Q is 1.5 away from the mean.

Then S will just have three students, or three times five, to keep the population's mean constant.

R students still present (maximum):

=> 40 - 1- 1-3

=> 35

Therefore , the solution of the given problem of average comes out to be  R students still present (maximum) =35

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Answer:

The answer is 0.01, 0.1, 0.1, 0.11, 1 and 1.11

Step-by-step explanation:

Answer:

I hope this helps : ) !!!!

Step-by-step explanation:

0.01 , 0.1, 0.1, 0.11, 1, 1.11

The residential buildings' total assessed land value has the smallest standard deviation.

To determine the standard deviations for the commercial and residential buildings' total assessed land value and total assessed parcel value, we would need access to a specific dataset that includes these values. However, based on general trends and assumptions, residential buildings' total assessed land value is likely to have the smallest standard deviation.

Residential properties typically exhibit more homogeneity compared to commercial properties. Residential neighborhoods often consist of similar types of properties, with comparable land values within a specific area. As a result, the assessed land values for residential buildings are more likely to cluster around a mean value, resulting in a smaller standard deviation.

In contrast, commercial properties can vary significantly in terms of size, location, and intended use. They may be diverse in terms of their land value and parcel value. The assessed land values and parcel values for commercial buildings are more likely to have a wider range of values, leading to a larger standard deviation.  

Therefore, based on these general characteristics, the residential buildings' total assessed land value is expected to have the smallest standard deviation compared to the commercial buildings' total assessed land value and total assessed parcel value.

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A three-point estimate is an estimate that includes an optimistic, most likely, and pessimistic estimate, such as three weeks, four weeks, and five weeks, respectively.

A three-point estimate is an estimate that includes a range of estimates based on different scenarios: the optimistic (best-case) estimate, the most likely estimate, and the pessimistic (worst-case) estimate.

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Answer:

\(c + 15 > 24\)

\(c > 9\)

The additional amount will be more than $9.

The width of the new rectangular field would be 0 meters, which means it would essentially be a line segment.

To find the length and width of another rectangular field that has the same perimeter but a larger area, we can use the following steps:

1. Calculate the perimeter of the given rectangular field:

  Perimeter = 2 * (Length + Width)

            = 2 * (120 meters + 80 meters)

            = 2 * 200 meters

            = 400 meters

2. Divide the perimeter by 2 to find the equal sides of the new rectangular field. Since the perimeter is divided equally into two sides, each side would be half of the perimeter length:

  Side length = Perimeter / 2

             = 400 meters / 2

             = 200 meters

3. Now, we have the side length of the new rectangular field. However, we need to determine the length and width that would yield a larger area. One way to achieve this is to make one side longer and the other side shorter.

4. Let's assume the length of the new rectangular field is 200 meters. Since both sides have the same length, the width can be calculated using the formula for the perimeter:

  Width = Perimeter / 2 - Length

        = 400 meters / 2 - 200 meters

        = 200 meters - 200 meters

        = 0 meters

5. Therefore, the width of the new rectangular field would be 0 meters, which means it would essentially be a line segment. However, note that the question asks for a rectangular field with a larger area. Since the width cannot be zero, we can conclude that it is not possible to have a rectangular field with the same perimeter but a larger area than the given field.

In summary, it is not possible to find another rectangular field with the same perimeter but a larger area than the rectangular field with dimensions 80 meters wide and 120 meters long.

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Answer:

433.5 cm²

Step-by-step explanation:

The formula for circumference is C = 2πr, where r is the radius.

Here, C = 2πr = 73.79 cm.  Solving this for the radius, r, we get:

     73.79 cm

r = ---------------- = 11.75 cm

        2(3.14)

Then the area of the hubcap is A = πr², or, in this case,

A = 3.14(11.75 cm)²  =  433.5 cm²

Answer:

simple answer (and rounded for u) = 434 centimeters squared! hope it helps peeps

Step-by-step explanation:

the missing TR amount for Group 1 is $200 and the missing MR amount is $30.

To calculate the missing TR (total revenue) and MR (marginal revenue) amounts for Group 1, we need to use the given data in the table.

Total revenue (TR) is calculated by multiplying the price (P) with the quantity (Q), while marginal revenue (MR) is the change in total revenue resulting from selling an additional unit of output.

Looking at the table for Group 1, we see that the price (P) is $10 and the quantity (Q) is 20. Therefore, the TR for Group 1 can be calculated as:

TR = P x Q = $10 x 20 = $200.

To calculate MR, we need to compare the change in total revenue when the quantity increases from 20 to 30 units. From the table, we see that the total revenue for Group 1 when the quantity is 30 is $230.

Therefore, the marginal revenue for Group 1 can be calculated as:
MR = TR2 - TR1 = $230 - $200 = $30.

So, the missing TR amount for Group 1 is $200 and the missing MR amount is $30.

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The prediction about what might happen if you have ten birds will be 5. You'll have either seven or eight angry neighbors

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

In this case, it should be noted that as the number of birds increase, the number of angry neighbor increased too. Therefore, the prediction about what might happen if you have ten birds will be that you'll have either seven or eight angry neighbors.

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Your answer would be 1/x^2 -6

Answer:

0.033 It doesnt reduce if thats what youre looking for

Step-by-step explanation:

Let's see

\(\\ \rm\Rrightarrow \dfrac{9}{272}\)

\(\\ \rm\Rrightarrow 0.0330882352941\)

Rounding

\(\\ \rm\Rrightarrow 0.0331\)

Done!